Divisibility Rule For 8 With Examples
Divisibility Rule For 8 With Examples
Divisibility Rule for 8
A number is divisible by 8 if the last three digits of that number form a number that is divisible by 8.
Steps to Check Divisibility by 8
- Identify the Last Three Digits: Take the last three digits of the number. If the number has fewer than three digits, use all of them.
- Check Divisibility by 8: Determine if this three-digit number (or the entire number) is divisible by 8.
Examples
Example 1: 1,536
- Identify the Last Three Digits:
- Last three digits are 536.
- Check Divisibility by 8:
- ( 536/8 = 67) (with no remainder).
- Conclusion: Since 536 is divisible by 8, 1,536 is also divisible by 8.
Example 2: 2,472
- Identify the Last Three Digits:
- Last three digits are 472.
- Check Divisibility by 8:
- ( 472/8 = 59) (with no remainder).
- Conclusion: Since 472 is divisible by 8, 2,472 is also divisible by 8.
Example 3: 1,024
- Identify the Last Three Digits:
- Last three digits are 024 (or just 24).
- Check Divisibility by 8:
- ( 24/8 = 3) (with no remainder).
- Conclusion: Since 24 is divisible by 8, 1,024 is also divisible by 8.
Example 4: 3,675
- Identify the Last Three Digits:
- Last three digits are 675.
- Check Divisibility by 8:
- ( 675/8 = 84.375) (not an integer, remainder exists).
- Conclusion: Since 675 is not divisible by 8, 3,675 is not divisible by 8.
Example 5: 8,192
- Identify the Last Three Digits:
- Last three digits are 192.
- Check Divisibility by 8:
- ( 192/8 = 24) (with no remainder).
- Conclusion: Since 192 is divisible by 8, 8,192 is also divisible by 8.
Summary
To check if a number is divisible by 8:
- Look at the last three digits of the number.
- Divide that three-digit number by 8.
- If the result is an integer (no remainder), then the original number is divisible by 8.